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3 years ago

Rita bought a pair of jeans for $89. The sales-tax rate is 11 percent. What is the total amount she paid for the jeans?

Mathematics

1 answer:

andre [41]3 years ago

5 0

Total amount paid by Rita is $98.79

Step-by-step explanation:

Step 1: Given sales tax = 11% and cost of jeans = $89
Step 2: Calculate amount of sales tax = 11% of 89 = 11/100 × 89 = $9.79
Step 3: Calculate the total amount

Total Amount = 89 + 9.79 = $98.79

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Answer:

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Step-by-step explanation:

Consider the provided matrix.

$v_1=\begin{bmatrix}-3\\1 \end{bmatrix}$

$v_2=\begin{bmatrix}-1\\1 \end{bmatrix}$

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$x(t)=c_1v_1e^{\lambda_1t}+c_2v_2e^{\lambda_2t}$

Substitute the respective values we get:

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$x(t)=\begin{bmatrix}-3c_1e^{4t}-c_2e^{2t}\\c_1e^{4t}+c_2e^{2t} \end{bmatrix}$

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Reduce matrix to reduced row echelon form.

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Therefore, $c_1=2.5,c_2=1.5$

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$x(t)=\begin{bmatrix}-7.5e^{4t}+1.5e^{2t}\\2.5e^{4t}-1.5e^{2t}\end{bmatrix}$

The required position of the particle at time t is: $x(t)=\begin{bmatrix}-7.5e^{4t}+1.5e^{2t}\\2.5e^{4t}-1.5e^{2t}\end{bmatrix}$

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3 years ago

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lesya692 [45]

Answer:

Step-by-step explanation:

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